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Finding the Fourth Proportional to 23,771.07, 32,802.71 and 13,160.07

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Solution

The fourth proportional to 23,771.07, 32,802.71 and 13,160.07 is: 18,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.07 : 32,802.71 = 13,160.07 : x
  2. Step 2: Convert to fraction form
    23,771.07/32,802.71 = 13,160.07/x
  3. Step 3: Cross multiply
    23,771.07x = 32,802.71 × 13,160.07
  4. Step 4: Simplify right side
    23,771.07x = 431,685,893.99
  5. Step 5: Solve for x
    x = 431,685,893.99/23,771.07
  6. Step 6: Final answer
    x = 18,160.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.